Number Problems Worksheet
The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).
NameDateTime takenScore ___ / 40
- 1.One number is 3 times another. Their difference is 32. What is the smaller number?
- 2.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
- 3.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
- 4.The sum of 4 consecutive numbers is 194. What is the smallest of them?
- 5.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
- 6.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
- 7.One number is 2 times another. Their difference is 35. What is the smaller number?
- 8.One number is 5 times another. Their difference is 64. What is the smaller number?
- 9.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
- 10.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
- 11.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
- 12.The sum of 4 consecutive numbers is 86. What is the largest of them?
- 13.The sum of 5 consecutive numbers is 245. What is the largest of them?
- 14.The sum of 5 consecutive numbers is 65. What is the largest of them?
- 15.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
- 16.The sum of 4 consecutive numbers is 158. What is the largest of them?
- 17.The sum of two numbers is 18 and their difference is 8. What is the smaller number?
- 18.One number is 2 times another. Their difference is 31. What is the smaller number?
- 19.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
- 20.The sum of 3 consecutive numbers is 141. What is the smallest of them?
- 21.The sum of 3 consecutive numbers is 111. What is the smallest of them?
- 22.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
- 23.One number is 6 times another. Their difference is 30. What is the smaller number?
- 24.The sum of 4 consecutive odd numbers is 208. What is the smallest of them?
- 25.The sum of 3 consecutive numbers is 57. What is the largest of them?
- 26.The sum of 4 consecutive even numbers is 164. What is the largest of them?
- 27.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
- 28.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
- 29.The sum of 4 consecutive numbers is 50. What is the smallest of them?
- 30.One number is 2 times another. Their difference is 19. What is the smaller number?
- 31.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
- 32.The sum of two numbers is 51 and their difference is 41. What is the larger number?
- 33.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
- 34.One number is 4 times another. Their difference is 120. What is the smaller number?
- 35.The sum of two numbers is 25 and their difference is 13. What is the larger number?
- 36.The sum of two numbers is 45 and their difference is 13. What is the larger number?
- 37.The sum of 5 consecutive numbers is 200. What is the largest of them?
- 38.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
- 39.The sum of 3 consecutive numbers is 51. What is the smallest of them?
- 40.The sum of 3 consecutive even numbers is 90. What is the largest of them?
Answer key
- 16
- 51
- 36
- 47
- 15
- 49
- 35
- 16
- 48
- 22
- 27
- 23
- 51
- 15
- 16
- 41
- 5
- 31
- 65
- 46
- 36
- 47
- 6
- 49
- 20
- 44
- 69
- 27
- 11
- 19
- 89
- 46
- 33
- 40
- 19
- 29
- 42
- 59
- 16
- 32
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